BT worldsheet for supersymmetric gauge theories Original Research Article

We extend the Bardakci–Thorn (BT) worldsheet formalism to supersymmetric non-Abelian gauge theory. Our method covers the cases of N=1,2,4 extended supersymmetry. This task requires the introduction of spinor valued Grassmann variables on the worldsheet analogous to those of the supersymmetric formulation of superstring theory. As in the pure Yang–Mills case, the worldsheet formalism automatically generates the correct quartic vertices from the cubic vertices. We also discuss coupling renormalization to one loop order.